# Squares and Square Roots

# Squares and Square Roots: The Life Quadratic Quiz

Think you’ve got your head wrapped around

*? Put your knowledge to the test. Good luck — the Stickman is counting on you!***Squares and Square Roots**Q. Which of the following is

**not**a quadratic equation?*x*

^{2}= -1

5

*x*^{2}– 5 = 17*x*+ 3 = 0

*y*

^{2}+ 3 = 4

Q. If the polynomial 4

*x*^{2}+ 9*x*+*c*is the square of binomial of degree 1, what is*c*?A rarely used type of battery

Q. The polynomial

*x*^{2}+ 11*x*+*c*is the square of which binomial?Q. How many solutions are there to the equation

*x*^{2}+ 12*x*= -36?none

one

two

infinitely many

more than I care to think about

Q. How many solutions are there to the equation

*x*^{2}– 4*x*= 17?none

one

two

infinitely many

fourteen-ish

Q. Solve:

*x*^{2}+ 14*x*+ 40 = -5.*x*= -3,

*x*= -11

*x*= -5,

*x*= -9

*x*= -1,

*x*= 12

This equation has no solutions.

Q. Solve, assuming that

*a*,*b*,*c*are constants and*c*is not zero:*cx*^{2}+*ax*+*b*= 0.Q. Solve: 2

*x*^{2}+ 5*x*+ 3 = 7.*x*= 0

This equation has no solutions.

Q. If the quadratic equation

*ax*^{2}+*bx*+*c*= 0 has discriminant 0, how many solutions does the equation have?none

one

two

infinitely many

oh so many

Q. A student was asked to solve the equation 3

*x*^{2}+ 10*x*– 11 = 0. They wrote down the following work.Where, if anywhere, did the student make their first mistake?

In line 1.

In getting from line 2 to line 3.

In getting from line 3 to line 4.

Filling out their name.

The student made no mistakes.